Important Questions: Symmetrical Designs

Q1: Draw the lines of Symmetry for the following shapes.

Sol: The Line of Symmetry for the given shapes are:

Q2: Draw a shape that does not have symmetry.

​Sol:

Q3: How many lines of symmetry does these geometrical shapes have?

1. Square
2. Pentagon
3. Rhombus
4. Trapezium

Sol:

1. Square : has 4 lines of symmetry
2. Pentagon: has 5 lines of symmetry
3. Rhombus: has 2 lines of symmetry
4. Trapezium: has 0 lines of symmetry

Q4: How many English alphabets are symmetrical?

Solution:

14 letters have lines of symmetry either horizontally or vertically.

They are A, B, C, D, E, H, I, K, M, O, T, V, W, X.

Q5: How do reflection symmetry look for the following shapes?

1. Star
2. Moon
3. Sun

Solution:

The reflection for the Star, Moon and Sun appear the same as the original images

Q6: Copy the following drawings on squared paper and complete each one of them in such a way that resulting figure has two dotted lines as two lines of symmetry:

Sol: 

Q7: Consider the English alphabets A to Z. List among them the letters which have

(i) vertical line of symmetry. (like A)

(ii) horizontal lines of symmetry. (like B)

(iii) vertical and horizontal lines of symmetry. (like I)

(iv) no line of symmetry. (like Q)

Sol: (i) Vertical line of symmetry. (like A)

​(ii) Horizontal lines of symmetry. (like B)

​(iii) Vertical and horizontal lines of symmetry. (like I)

​(iv) No line of symmetry. (like Q)

Q8. Can you draw a triangle having:

(i) exactly one line of symmetry

(ii) exactly two lines of symmetry.

(iii) three lines of symmetry.

(iv) no line of symmetry.

Solution:

(i) Exactly one line of symmetry.

Yes, an isosceles triangle.

(ii) Exactly two lines of symmetry.

No.

(iii) Three lines of symmetry.

Yes, an equilateral triangle.

(iv) No line of symmetry.

Yes, a scalene triangle.